Radius of two smaller semicircles shown in the figure is 2 cm. What is the area (in cm2) of the shaded portion bounded by three semicircles as shown in the figure?
Explanation:
The three semicircles in the figure can be named S1, S2 and S3 as shown above.
Since the two semicircles have equal radii, their area also has to be equal to each other.
Area(S2) = Area(S3)
Hence, we can redraw the figure like this.
Area of the shaded portion is same as the area of S1.
Radius of S1 = 4.
∴ Area of shaded portion = ½ × π × 4 × 4 = 8π
Hence, option (a).
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